Well. We quickly gather a random sample of 10 kitten weights and determine that the sample has a mean weight of 4.28 pounds, with a standard deviation of 1.2 pounds.

O.C. remarks, "Wow! 4.28 pounds is different from 5 pounds! I guess my idea is not a Good One!" We tell him we are not ready to make that decision yet.

What type of "standardized" test statistic are we creating and using in this analysis? Another way to think about this is, what will be the Shape of the theoretical distribution of all possible sample means about the O.C's hypothetical true mean weight?

Example answer: "We are using a

test, because